105116106704 has 120 divisors (see below), whose sum is σ = 241150815360. Its totient is φ = 43466042880.

The previous prime is 105116106701. The next prime is 105116106727. The reversal of 105116106704 is 407601611501.

It is a super-2 number, since 2×105116106704² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105116106701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22085477 + ... + 22090235.

It is an arithmetic number, because the mean of its divisors is an integer number (2009590128).

Almost surely, 2^105116106704 is an apocalyptic number.

105116106704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105116106704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120575407680).

105116106704 is an abundant number, since it is smaller than the sum of its proper divisors (136034708656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105116106704 is an equidigital number, since it uses as much as digits as its factorization.

105116106704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4949 (or 4882 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The spelling of 105116106704 in words is "one hundred five billion, one hundred sixteen million, one hundred six thousand, seven hundred four".